Rotating loop in magnetic field

AI Thread Summary
The discussion revolves around calculating the strength of a magnetic field (B) affecting a rotating rectangular wire loop. The loop has dimensions of 20 cm by 30 cm and rotates at 50 rad/sec, with a resistance of 36 Ω. The induced rms current is given as 0.04 A, leading to a calculated rms voltage of 1.44 V. Participants emphasize the need to use Faraday's law of electromagnetic induction to relate the induced emf to the magnetic flux and the loop's area. The conversation highlights the importance of understanding the relationship between rms and peak voltage in this context.
Tekee
Messages
20
Reaction score
0

Homework Statement



A single-turn rectangular wire loop of size 20 cm × 30 cm rotates at a uniform rate of ω = 50 rad/sec around the z-axis as shown. There is a uniform magnetic field B in the +y-direction. The loop has a total resistance of R = 36 Ω.

If the induced rms current in the loop is 0.04 A, what is the strength of the magnetic field B?

Homework Equations



Unsure

The Attempt at a Solution



I figure that the V will be .04 x 36, or 1.44 Amps. I know that there is probably an equation I can use where I can plug in emf, w, B, and A, although I have no idea what that is...
 
Physics news on Phys.org
Tekee;2621503 [h2 said:
The Attempt at a Solution[/h2]

I figure that the V will be .04 x 36, or 1.44 Amps. I know that there is probably an equation I can use where I can plug in emf, w, B, and A, although I have no idea what that is...

Multiplying 0.04 and 36 will give you the rms voltage. You want the peak voltage. How does the peak voltage 'V0' relate to the rms voltage 'Vrms'?

To get 'B', recall Faraday's law of electromagnetic induction. What would be the expression for the magnetic flux Φ?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Induced current and force on circular loop in varying magnetic field
Replies
4
Views
978
What is the net force on the current loop?
Replies
8
Views
2K
Understanding work in translation and rotation of a magnetic dipole
Replies
1
Views
2K
Can the Magnetic Field Be Determined Using Biot-Savart Law Superposition?
Replies
2
Views
909
Direction and magnitude of electric field produced by current change
Replies
8
Views
993
How Does Induced Current Change with Loop Acceleration Through a Magnetic Field?
Replies
8
Views
1K
Making sense of sequence of ideas in MIT OCW's 8.02 notes on Faraday
Replies
1
Views
1K
Derivation Of Torque On Current Loop Due To Uniform Magnetic Field
Replies
4
Views
1K
Understanding Torque in a Magnetic Field with Loop
Replies
37
Views
4K
Induced EMF in a moving Loop Conductor
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top